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from scipy.constants import g

"""

Finding the gravitational potential energy of an object with reference

to the earth,by taking its mass and height above the ground as input

Description : Gravitational energy or gravitational potential energy

is the potential energy a massive object has in relation to another

massive object due to gravity. It is the potential energy associated

with the gravitational field, which is released (converted into

kinetic energy) when the objects fall towards each other.

Gravitational potential energy increases when two objects

are brought further apart.

For two pairwise interacting point particles, the gravitational

potential energy U is given by

U=-GMm/R

where M and m are the masses of the two particles, R is the distance

between them, and G is the gravitational constant.

Close to the Earth's surface, the gravitational field is approximately

constant, and the gravitational potential energy of an object reduces to

U=mgh

where m is the object's mass, g=GM/R² is the gravity of Earth, and h is

the height of the object's center of mass above a chosen reference level.

Reference : "https://en.m.wikipedia.org/wiki/Gravitational_energy"

"""

def potential_energy(mass: float, height: float) -> float:

# function will accept mass and height as parameters and return potential energy

"""

>>> potential_energy(10,10)

980.665

>>> potential_energy(0,5)

0.0

>>> potential_energy(8,0)

0.0

>>> potential_energy(10,5)

490.3325

>>> potential_energy(0,0)

0.0

>>> potential_energy(2,8)

156.9064

>>> potential_energy(20,100)

19613.3

"""

if mass < 0:

# handling of negative values of mass

raise ValueError("The mass of a body cannot be negative")

if height < 0:

# handling of negative values of height

raise ValueError("The height above the ground cannot be negative")

return mass * g * height

if __name__ == "__main__":

from doctest import testmod

testmod(name="potential_energy")

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